{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:NDBLFMAY2JGRP6XTIFVO52S3DD","short_pith_number":"pith:NDBLFMAY","canonical_record":{"source":{"id":"1311.3383","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-14T05:25:08Z","cross_cats_sorted":[],"title_canon_sha256":"cfa56ba28fa7d20b707a8f2bc68fa5550269d89b948cc4d41b50bb5d7e013631","abstract_canon_sha256":"38ed0ce95ebe5cb95ee349d985b98d9ce71bf5a4d9de519dd5e21437366c56a8"},"schema_version":"1.0"},"canonical_sha256":"68c2b2b018d24d17faf3416aeeea5b18eddbf7bae868193d757cba7b4cabebfd","source":{"kind":"arxiv","id":"1311.3383","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3383","created_at":"2026-05-18T02:32:31Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3383v1","created_at":"2026-05-18T02:32:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3383","created_at":"2026-05-18T02:32:31Z"},{"alias_kind":"pith_short_12","alias_value":"NDBLFMAY2JGR","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NDBLFMAY2JGRP6XT","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NDBLFMAY","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:NDBLFMAY2JGRP6XTIFVO52S3DD","target":"record","payload":{"canonical_record":{"source":{"id":"1311.3383","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-14T05:25:08Z","cross_cats_sorted":[],"title_canon_sha256":"cfa56ba28fa7d20b707a8f2bc68fa5550269d89b948cc4d41b50bb5d7e013631","abstract_canon_sha256":"38ed0ce95ebe5cb95ee349d985b98d9ce71bf5a4d9de519dd5e21437366c56a8"},"schema_version":"1.0"},"canonical_sha256":"68c2b2b018d24d17faf3416aeeea5b18eddbf7bae868193d757cba7b4cabebfd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:31.668995Z","signature_b64":"nkTm6AEQzcEMa4Y8QeeD3AUSbMB28K6Whsz+sH85U6edd03UtmzK/sJk15OO2ZHKPw+vJt7qJhNrT73LumwvAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68c2b2b018d24d17faf3416aeeea5b18eddbf7bae868193d757cba7b4cabebfd","last_reissued_at":"2026-05-18T02:32:31.668389Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:31.668389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.3383","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:32:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kq9dYhvX0oDyQBP8OiuXli++LdLCBFiu2yINZOVrgW0EpDnBIziVv9wn/Ys9LV0vPglBETcCKlE0z0jWFVd0CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T09:17:46.941905Z"},"content_sha256":"f6b13833b3d974cf07bbb3e2e3fa0e2095d155754177e52441d860a00b8c4df9","schema_version":"1.0","event_id":"sha256:f6b13833b3d974cf07bbb3e2e3fa0e2095d155754177e52441d860a00b8c4df9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:NDBLFMAY2JGRP6XTIFVO52S3DD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Seifert surfaces in open books, and pass moves on links","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Susumu Hirose, Yuusuke Nakashima","submitted_at":"2013-11-14T05:25:08Z","abstract_excerpt":"The flat plumbing basket presentation of a link is introduced by Furihata, Hirasawa and Kobayashi. In this paper, we show that the pass-equivalence and an equivalence introduced by using the flat plumbing basket presentation are the same relation. Furthermore, we obtain an evaluation of the minimal number of bands used for the flat pluming basket presentation for a knot coming from the degree of the Alexander polynomial and the three genus of the knot."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3383","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:32:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1tMGqZDp8flTLLa8IvlLQ8B1+bhgj6c/pN9E/WOgQpWULToJgN2IdnP0uWGT+InBxwe+XBzwPBwztz1H+0vhCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T09:17:46.942241Z"},"content_sha256":"127317ce662bda05c9517ab079a0822425639bf5019e480b38e392c537e246e4","schema_version":"1.0","event_id":"sha256:127317ce662bda05c9517ab079a0822425639bf5019e480b38e392c537e246e4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NDBLFMAY2JGRP6XTIFVO52S3DD/bundle.json","state_url":"https://pith.science/pith/NDBLFMAY2JGRP6XTIFVO52S3DD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NDBLFMAY2JGRP6XTIFVO52S3DD/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-27T09:17:46Z","links":{"resolver":"https://pith.science/pith/NDBLFMAY2JGRP6XTIFVO52S3DD","bundle":"https://pith.science/pith/NDBLFMAY2JGRP6XTIFVO52S3DD/bundle.json","state":"https://pith.science/pith/NDBLFMAY2JGRP6XTIFVO52S3DD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NDBLFMAY2JGRP6XTIFVO52S3DD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NDBLFMAY2JGRP6XTIFVO52S3DD","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"38ed0ce95ebe5cb95ee349d985b98d9ce71bf5a4d9de519dd5e21437366c56a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-14T05:25:08Z","title_canon_sha256":"cfa56ba28fa7d20b707a8f2bc68fa5550269d89b948cc4d41b50bb5d7e013631"},"schema_version":"1.0","source":{"id":"1311.3383","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3383","created_at":"2026-05-18T02:32:31Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3383v1","created_at":"2026-05-18T02:32:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3383","created_at":"2026-05-18T02:32:31Z"},{"alias_kind":"pith_short_12","alias_value":"NDBLFMAY2JGR","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NDBLFMAY2JGRP6XT","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NDBLFMAY","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:127317ce662bda05c9517ab079a0822425639bf5019e480b38e392c537e246e4","target":"graph","created_at":"2026-05-18T02:32:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The flat plumbing basket presentation of a link is introduced by Furihata, Hirasawa and Kobayashi. In this paper, we show that the pass-equivalence and an equivalence introduced by using the flat plumbing basket presentation are the same relation. Furthermore, we obtain an evaluation of the minimal number of bands used for the flat pluming basket presentation for a knot coming from the degree of the Alexander polynomial and the three genus of the knot.","authors_text":"Susumu Hirose, Yuusuke Nakashima","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-14T05:25:08Z","title":"Seifert surfaces in open books, and pass moves on links"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3383","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:f6b13833b3d974cf07bbb3e2e3fa0e2095d155754177e52441d860a00b8c4df9","target":"record","created_at":"2026-05-18T02:32:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"38ed0ce95ebe5cb95ee349d985b98d9ce71bf5a4d9de519dd5e21437366c56a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-14T05:25:08Z","title_canon_sha256":"cfa56ba28fa7d20b707a8f2bc68fa5550269d89b948cc4d41b50bb5d7e013631"},"schema_version":"1.0","source":{"id":"1311.3383","kind":"arxiv","version":1}},"canonical_sha256":"68c2b2b018d24d17faf3416aeeea5b18eddbf7bae868193d757cba7b4cabebfd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68c2b2b018d24d17faf3416aeeea5b18eddbf7bae868193d757cba7b4cabebfd","first_computed_at":"2026-05-18T02:32:31.668389Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:31.668389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nkTm6AEQzcEMa4Y8QeeD3AUSbMB28K6Whsz+sH85U6edd03UtmzK/sJk15OO2ZHKPw+vJt7qJhNrT73LumwvAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:31.668995Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.3383","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6b13833b3d974cf07bbb3e2e3fa0e2095d155754177e52441d860a00b8c4df9","sha256:127317ce662bda05c9517ab079a0822425639bf5019e480b38e392c537e246e4"],"state_sha256":"49e6b92fa9aa8318fa338e8a22be62950aceeb94e67262618ca21be4c50ae89e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S9hEDO6vzTp6vWVkE7SFssAeyVBS0QBAWLxKbIlG45lPtms6TS+URb/1Sr1MEily/bG1nv60ZUF9LCrqofYiDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T09:17:46.945273Z","bundle_sha256":"59353dd253ab3f73ee9abd9b77a9eb6dbdac58a337682fa48bfca0d066d67c25"}}